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Finding the Fourth Proportional to 340,506.76, 510,582.78 and 127,099.18

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Solution

The fourth proportional to 340,506.76, 510,582.78 and 127,099.18 is: 190,582.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,506.76 : 510,582.78 = 127,099.18 : x
  2. Step 2: Convert to fraction form
    340,506.76/510,582.78 = 127,099.18/x
  3. Step 3: Cross multiply
    340,506.76x = 510,582.78 × 127,099.18
  4. Step 4: Simplify right side
    340,506.76x = 64,894,652,660.12
  5. Step 5: Solve for x
    x = 64,894,652,660.12/340,506.76
  6. Step 6: Final answer
    x = 190,582.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.